The function f is defined by the power series (-1)" 2n f(x) = Σ = 1 n=0 (2n+1)! 1+1-21 + (-1)" 2n (2n+1)! for all real numbers x. Use the first and second derivative test by finding f'(x) and f'(x). Determine whether f has a local maximum, a local minimum, or neither at x=0.

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